Euler’s Number ‘e’ is a numerical constant used in mathematical calculations and its value is 2.718281828459045…so on. Just like pi(π), it is also an irrational number.
⇒ ( 2.71…)∞
As we know a constant number is multiplied by infinity time is infinity. It implies that e increases at a very high rate when e is raised to the infinity of power and thus leads towards a very large number, so we conclude that e raised to the infinity of power is infinity.
Now consider when e is raised to the power of negative infinity, then
⇒ ( 2.71…)-∞
⇒ 1/ e∞ or 1/ (2.71…)∞
⇒ 1/ ∞
That’s when e is raised to the negative infinity power, it leads toward a very small number and thus tends to zero.